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<div class="title">dot.hpp</div>  </div>
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<a href="dot_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;complex&gt;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacenc.html">nc</a></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;{</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="comment">//============================================================================</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="comment">// Method Description:</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="namespacenc.html#a2c9414f356ae2025a7cde3a192d6d67d">   47</a></span>&#160;    <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> <a class="code" href="namespacenc.html#a2c9414f356ae2025a7cde3a192d6d67d">dot</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArray1, <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArray2)</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> inArray1.<a class="code" href="classnc_1_1_nd_array.html#acca065e13f826c504493a2eae31f5d0e">dot</a>(inArray2);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    }</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="comment">//============================================================================</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="comment">// Method Description:</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="namespacenc.html#abfdbde62bdc084a9b8f9a894fa173c40">   66</a></span>&#160;    <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; <a class="code" href="namespacenc.html#a2c9414f356ae2025a7cde3a192d6d67d">dot</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArray1, <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray</a>&lt;std::complex&lt;dtype&gt;&gt;&amp; inArray2)</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <a class="code" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> shape1 = inArray1.<a class="code" href="classnc_1_1_nd_array.html#a2d1b4adfe3c9897ffe3dca45e357b2b4">shape</a>();</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> shape2 = inArray2.shape();</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (shape1 == shape2 &amp;&amp; (shape1.rows == 1 || shape1.cols == 1))</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        {</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            <span class="keyword">const</span> std::complex&lt;dtype&gt; dotProduct = std::inner_product(inArray1.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(), inArray1.<a class="code" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(), </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                inArray2.cbegin(), std::complex&lt;dtype&gt;{0});</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; returnArray = { dotProduct };</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        }</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (shape1.cols == shape2.rows)</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        {</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="comment">// 2D array, use matrix multiplication</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; returnArray(shape1.rows, shape2.cols);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            <span class="keyword">auto</span> array2T = inArray2.transpose();</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 0; i &lt; shape1.rows; ++i)</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            {</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; shape2.cols; ++<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                {</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    returnArray(i, <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = std::inner_product(array2T.cbegin(<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>), array2T.cend(<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>), </div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                        inArray1.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(i), std::complex&lt;dtype&gt;{0});</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        }</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        </div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        std::string errStr = <span class="stringliteral">&quot;shapes of [&quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape1.rows) + <span class="stringliteral">&quot;, &quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape1.cols) + <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        errStr += <span class="stringliteral">&quot; and [&quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape2.rows) + <span class="stringliteral">&quot;, &quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape2.cols) + <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        errStr += <span class="stringliteral">&quot; are not consistent.&quot;</span>;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(errStr);</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt;(); <span class="comment">// get rid of compiler warning</span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="comment">//============================================================================</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="comment">// Method Description:</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="namespacenc.html#a6ab78d4355c57b053b6e44f710d60528">  120</a></span>&#160;    <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; <a class="code" href="namespacenc.html#a2c9414f356ae2025a7cde3a192d6d67d">dot</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray</a>&lt;std::complex&lt;dtype&gt;&gt;&amp; inArray1, <span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArray2)</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    {</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <a class="code" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> shape1 = inArray1.shape();</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> shape2 = inArray2.<a class="code" href="classnc_1_1_nd_array.html#a2d1b4adfe3c9897ffe3dca45e357b2b4">shape</a>();</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160; </div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (shape1 == shape2 &amp;&amp; (shape1.rows == 1 || shape1.cols == 1))</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keyword">const</span> std::complex&lt;dtype&gt; dotProduct = std::inner_product(inArray1.cbegin(), inArray1.cend(), </div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                inArray2.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(), std::complex&lt;dtype&gt;{0});</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; returnArray = { dotProduct };</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">if</span> (shape1.cols == shape2.rows)</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        {</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            <span class="comment">// 2D array, use matrix multiplication</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; returnArray(shape1.rows, shape2.cols);</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            <span class="keyword">auto</span> array2T = inArray2.<a class="code" href="classnc_1_1_nd_array.html#a78c99f8306415d8e0ac0e03bb69c6d29">transpose</a>();</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> i = 0; i &lt; shape1.rows; ++i)</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            {</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> = 0; <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a> &lt; shape2.cols; ++<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>)</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                {</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    returnArray(i, <a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>) = std::inner_product(array2T.cbegin(<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>), array2T.cend(<a class="code" href="namespacenc_1_1constants.html#a0e933571f05ee6af915fc327260517e9">j</a>),</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                        inArray1.cbegin(i), std::complex&lt;dtype&gt;{0});</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                }</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160; </div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        }</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        </div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        std::string errStr = <span class="stringliteral">&quot;shapes of [&quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape1.rows) + <span class="stringliteral">&quot;, &quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape1.cols) + <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        errStr += <span class="stringliteral">&quot; and [&quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape2.rows) + <span class="stringliteral">&quot;, &quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a16a6ad93c420ed7a003d9921bee1a7c6">utils::num2str</a>(shape2.cols) + <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        errStr += <span class="stringliteral">&quot; are not consistent.&quot;</span>;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(errStr);</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        </div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt;(); <span class="comment">// get rid of compiler warning</span></div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    }</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;}  <span class="comment">// namespace nc</span></div>
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<div class="ttc" id="aclassnc_1_1_nd_array_html_a2d1b4adfe3c9897ffe3dca45e357b2b4"><div class="ttname"><a href="classnc_1_1_nd_array.html#a2d1b4adfe3c9897ffe3dca45e357b2b4">nc::NdArray::shape</a></div><div class="ttdeci">Shape shape() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4356</div></div>
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<div class="ttc" id="aclassnc_1_1_nd_array_html_a78c99f8306415d8e0ac0e03bb69c6d29"><div class="ttname"><a href="classnc_1_1_nd_array.html#a78c99f8306415d8e0ac0e03bb69c6d29">nc::NdArray::transpose</a></div><div class="ttdeci">NdArray&lt; dtype &gt; transpose() const</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4652</div></div>
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<div class="ttc" id="aclassnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray&lt; dtype &gt;</a></div></div>
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<div class="ttc" id="anamespacenc_html_af0f49663fb63332596e2e6327009d581"><div class="ttname"><a href="namespacenc.html#af0f49663fb63332596e2e6327009d581">nc::uint32</a></div><div class="ttdeci">std::uint32_t uint32</div><div class="ttdef"><b>Definition:</b> Types.hpp:40</div></div>
<div class="ttc" id="a_nd_array_8hpp_html"><div class="ttname"><a href="_nd_array_8hpp.html">NdArray.hpp</a></div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_aa16bc96e4bbafbc8a06743f3e4a10a6a"><div class="ttname"><a href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">nc::NdArray::cend</a></div><div class="ttdeci">const_iterator cend() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1487</div></div>
<div class="ttc" id="anamespacenc_html"><div class="ttname"><a href="namespacenc.html">nc</a></div><div class="ttdef"><b>Definition:</b> Coordinate.hpp:44</div></div>
<div class="ttc" id="a_error_8hpp_html_af2aff1172060367b9c5398fa097fa8fd"><div class="ttname"><a href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a></div><div class="ttdeci">#define THROW_INVALID_ARGUMENT_ERROR(msg)</div><div class="ttdef"><b>Definition:</b> Error.hpp:36</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a0bee49339bdc4d7edbeb5efa73133cc3"><div class="ttname"><a href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">nc::NdArray::cbegin</a></div><div class="ttdeci">const_iterator cbegin() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1143</div></div>
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